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Файл:Сборник заданий типовых расчетов / Сборник, ч.2. Ред 7.12.09 / Сборник, ч.2. Ред 7.12.09 / Мат. физика ред. 27.11.09 / Задачи по мф 1-21.doc
Задание 10. Найдите решение краевой задачи для уравнения Лапласа в прямоугольнике (пример 13)
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№ |
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1 |
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0 |
0 |
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2 |
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0 |
|
0 |
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3 |
|
0 |
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4 |
|
0 |
0 |
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5 |
0 |
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|
0 |
|
6 |
0 |
|
0 |
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|
7 |
0 |
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|
8 |
|
0 |
|
0 |
|
9 |
0 |
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|
0 |
|
10 |
|
0 |
0 |
|
|
11 |
0 |
|
|
0 |
|
12 |
|
0 |
0 |
|
|
13 |
0 |
|
0 |
|
|
14 |
|
0 |
0 |
|
|
15 |
0 |
|
|
0 |
|
16 |
|
0 |
0 |
|
|
17 |
0 |
|
0 |
|
|
18 |
0 |
|
0 |
|
|
19 |
|
0 |
|
0 |
|
№ |
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|
|
|
|
20 |
|
|
|
0 |
|
21 |
|
|
|
0 |
|
22 |
|
|
0 |
|
|
23 |
|
|
0 |
|
|
24 |
|
|
|
0 |
|
25 |
|
0 |
|
|
|
26 |
0 |
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|
|
|
27 |
0 |
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|
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Окончание таблицы
|
№ |
|
|
|
|
|
28 |
|
0 |
|
|
|
29 |
|
0 |
|
|
|
30 |
0 |
|
|
|
|
№ |
|
|
|
|
|
|
|
|
|
|
|
|
|
1 |
0 |
1 |
0 |
2 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
2 |
−2 |
0 |
0 |
3 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
3 |
0 |
2 |
−2 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
4 |
0 |
3 |
−3 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
5 |
0 |
2 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
6 |
−1 |
0 |
0 |
2 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
7 |
0 |
2 |
−2 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
8 |
0 |
3 |
0 |
2 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
9 |
0 |
2 |
−1 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
10 |
−3 |
0 |
−2 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
11 |
0 |
3 |
−3 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
12 |
0 |
4 |
0 |
3 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
13 |
0 |
2 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
14 |
0 |
3 |
−2 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
15 |
−2 |
0 |
0 |
2 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
16 |
−3 |
0 |
0 |
3 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
17 |
0 |
3 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
18 |
0 |
2 |
−3 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
19 |
−4 |
0 |
0 |
3 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
20 |
0 |
2 |
−4 |
4 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
21 |
0 |
1 |
−2 |
2 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
22 |
−2 |
0 |
−3 |
3 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
23 |
0 |
3 |
−2 |
2 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
24 |
−2 |
0 |
−1 |
1 |
1 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
|
25 |
−1 |
1 |
−3 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
26 |
−3 |
3 |
0 |
2 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
№ |
|
|
|
|
|
|
|
|
|
|
|
|
|
27 |
−2 |
2 |
0 |
1 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
28 |
−3 |
3 |
−2 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
29 |
−1 |
1 |
−1 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
|
30 |
−2 |
2 |
−3 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
1 |
0 |
